arXiv Analytics

Sign in

arXiv:1401.1949 [math.CA]AbstractReferencesReviewsResources

Mean value property associated with the Dunkl Laplacian

Kods Hassine

Published 2014-01-09Version 1

Let $\Delta_k$ be the Dunkl Laplacian on $\mathbb{R}^d$. The main goal of this paper is to characterize $\Delta_k$-harmonic functions by means of a mean value property

Comments: 10 pages
Categories: math.CA, math.AP
Subjects: 31A05, 51F15, 42B99
Related articles: Most relevant | Search more
arXiv:1906.00268 [math.CA] (Published 2019-06-01)
The set of $p$-harmonic functions in $B_{1}$ is total in $C^{k}(\bar{B}_{1})$
arXiv:0812.4819 [math.CA] (Published 2008-12-28)
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
arXiv:1909.00820 [math.CA] (Published 2019-09-02)
Constructive description of H{ö}lder-like classes on an arc in $\mathbb{R}^3$ by means of harmonic functions